Copying materials doesn't work
Solution below, and no you are not, a little explanation first:

Regarding the menus you had there, the material index might be possible to copy to other objects, but i'm honestly not sure what that would do. The menu from the name, well the other objects would not accept the string value, as objects can not have the same name.

While right clicking on the Material in the list or the name underneath gives the option to "Copy to Selected", you missed another place that does the trick.

Solution:



The little "v" under the "-" on the right side opens the menu concerning the material with the function you want "Copy Material to Selected".